2 papers
math.RA2026
Abstract Cluster Structures
Jan E. Grabowski, Sira Gratz
We describe a framework for encoding cluster combinatorics using categorical methods. We give a definition of an abstract cluster structure, which captures the essence of cluster m…
math.RT2025
Cluster structures via representation theory: cluster ensembles, tropical duality, cluster characters and quantisation
Jan E. Grabowski, Matthew Pressland
We develop a general theory of cluster categories, applying to a 2-Calabi-Yau extriangulated category and cluster-tilting subcategory satisfying only mi…